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Finding the Fourth Proportional to 7,182.83, 10,751.16 and 3,842.75

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Solution

The fourth proportional to 7,182.83, 10,751.16 and 3,842.75 is: 5,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.83 : 10,751.16 = 3,842.75 : x
  2. Step 2: Convert to fraction form
    7,182.83/10,751.16 = 3,842.75/x
  3. Step 3: Cross multiply
    7,182.83x = 10,751.16 × 3,842.75
  4. Step 4: Simplify right side
    7,182.83x = 41,313,980.26
  5. Step 5: Solve for x
    x = 41,313,980.26/7,182.83
  6. Step 6: Final answer
    x = 5,751.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.